A Möbius ladder, sometimes called a Möbius wheel (Jakobson and Rivin 1999), of order
is a simple graph obtained by introducing a twist
in a prism graph of order that is isomorphic to the circulant
graph .
Möbius ladders are sometimes denoted .
The 4-Möbius ladder is known as the Wagner graph. The -Möbius
ladder rung graph is isomorphic to the Haar graph .
Biggs, N. L. Algebraic Graph Theory, 2nd ed. Cambridge, England: Cambridge University Press, pp. 20-21,
1993.Gallian, J. "Labeling Prisms and Prism Related Graphs."
Congr. Numer.59, 89-100, 1987.Gallian, J. "Dynamic
Survey of Graph Labeling." Elec. J. Combin.DS6. Dec. 21,
2018. https://www.combinatorics.org/ojs/index.php/eljc/article/view/DS6.Godsil,
C. and Royle, G. Algebraic
Graph Theory. New York: Springer-Verlag, pp. 118 and 131, 2001.Hladnik,
M.; Marušič, D.; and Pisanski, T. "Cyclic Haar Graphs." Disc.
Math.244, 137-153, 2002.McSorley, J. P. "Counting
Structures in the Moebius Ladder." Disc. Math.184, 137-164, 1998.Jakobson,
D. and Rivin, I. "On Some Extremal Problems in Graph Theory." 8 Jul 1999.
http://arxiv.org/abs/math.CO/9907050.Read,
R. C. and Wilson, R. J. An
Atlas of Graphs. Oxford, England: Oxford University Press, pp. 263 and
270, 1998.Sloane, N. J. A. Sequence A124356
in "The On-Line Encyclopedia of Integer Sequences."